Nishimura, H. (2013) Axiomatic Differential Geometry III-1, Model Theory I. Far East Journal of Mathematical Sciences, 74, 17-26.

has been cited by the following article:

• TITLE: Axiomatic Differential Geometry III-3-Its Landscape-Chapter 3: The Old Kingdom of Differential Geometers

  AUTHORS: Hirokazu Nishimura

  KEYWORDS: Axiomatic Differential Geometry, Synthetic Differential, Geometry, Weil Algebra, Weil Functor

  JOURNAL NAME: Applied Mathematics, Vol.8 No.6, June 21, 2017

  ABSTRACT: The principal objective of this paper is to study the relationship between the old kingdom of differential geometry (the category of smooth manifolds) and its new kingdom (the category of functors on the category of Weil algebras to some smooth category). It is shown that the canonical embedding of the old kingdom into the new kingdom preserves Weil functors.